Finding the Third Proportional to 53,380.50 and 115,527

Step by Step Solution

1. Step 1: Write the proportion equation
   53,380.50 : 115,527 = 115,527 : x
2. Step 2: Convert to fraction form
   53,380.50/115,527 = 115,527/x
3. Step 3: Cross multiply
   53,380.50x = 115,527 × 115,527
4. Step 4: Simplify right side
   53,380.50x = 13,346,487,729
5. Step 5: Solve for x
   x = 13,346,487,729/53,380.50
6. Step 6: Final answer
   x = 250,025.53